It's basically about which part of the sun's spectrum the sensor responds to.
The 'solar' sensor responds primarily to the visible wavelengths of light and, to a limited extent, into the infrared. It provides a broad measure of the energy in the solar output and is used for such things as correlating with solar panel performance, plant/crop growth and the traditional weather measure of 'sunshine hours', ie crudely how sunny the weather has been.
A UV sensor responds only to the UV wavelengths and its primary use is in health applications, eg warning against sunburn risk. But there may also be supplementary applications for UV readings where eg in assessing materials degradation in sunlight which may be caused largely by the UV wavelengths.